Question

What is the solution set of |x| < 15? Please work this step by step so i know exactly what to do! thanksss! (:

Answer 1

With absolute value equations there are always two solutions(when there is a solution). So one of the solutions is when x is positive and the other is when x is negative.
You can treat this like a regular equation except you have to flip the < or > sign when multiplying one side by a negative number.

Answer 2

hello you can write -15<x<15

Answer 3

So the two possible solutions are when x is positive so x < 15 and the other solution is when x is negative so x>-15( I flipped the sign b/c I changed 15 to a negative number.

Answer 4

x < 15 OR x > -15
So you can do
-15<x<15

Answer 5

So the solution set is -15<x<15
or in interval notation, it's (-15,15)

Answer 6

Okay I still don't under stand the concept of these type of equations but, I see how you got the answer to this thankss melbel & arkgolucky, ill be posting another one here shortly (:

Answer 7

So absolute value is technically a number's distance from 0 on the number line, but you can think of it as the positive value of a number b/c distance is always positive. so if you have |x|=3, both the |3| and |-3| are 3. Just apply the same concepts to inequalities.